: Filia Vonta, M.S. Nikulin, Nikolaos Limnios, Catherine Huber-Carol
: Statistical Models and Methods for Biomedical and Technical Systems
: Birkhäuser Basel
: 9780817646196
: 1
: CHF 139.10
:
: Allgemeines
: English
: 556
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This book deals with the mathematical aspects of survival analysis and reliability as well as other topics, reflecting recent developments in the following areas: applications in epidemiology; probabilistic and statistical models and methods in reliability; models and methods in survival analysis, longevity, aging, and degradation; accelerated life models; quality of life; new statistical challenges in genomics.

The work will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering.

Contents6
Preface19
Contributors21
List of Tables28
List of Figures31
PART I Cox Models, Analyses, and Extensions35
1 Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncation36
2 Corrected Score Estimation in the Cox Regression Model with Misclassified Discrete Covariates55
3 A Varying-Coeffcient Hazards Regression Model for Multiple Cross-E.ect65
4 Closure Properties and Diagnostic Plots for the Frailty Distribution in Proportional Hazards Models75
5 Multivariate Survival Data With Censoring86
PART II Reliability Theory Degradation Models97
6 Virtual (Biological) Age Versus Chronological Age98
7 A Competing Risks Model for Degradation and Traumatic Failure Times111
8 Generalized Birth and Death Processes as Degradation Models122
9 Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability135
10 Optimal Incomplete Maintenance for Weibull Failure Processes152
11 Are Nonhomogeneous Poisson Process Models Preferable to General-Order Statistics Models for Software Reliability Estimation?161
12 Multistate System Reliability Assessment by Using the Markov Reward Model177
PART III Inferential Analysis193
13 Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling Scheme194
14 Estimation of Rescaled Distribution210
15 Nested Plans for Sequential Change Point Detection The Parametric Case222
16 Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoring235
17 Testing the Acceleration Function in Lifetime Models247
18 Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing262
19 Goodness-of-Fit Tests for Pareto Distribution280
20 Application of Inverse Problems in Epidemiology and Biodemography296
PART IV Analysis of Censored Data313
21 A Sampling-Based Chi-Squared Test for Interval-Censored Data314
22 Semiparametric Regression Models for Interval-Censored Survival Data, With and Without Frailty E.ects326
23 Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes337
PART V Quality of Life349
24 Sequential Analysis of Quality-of-Life Measurements Using Mixed Rasch Models350
25 Measuring Degradation of Quality-of-Life Related to Pollution in the SEQAP Study365
26 A Bayesian Ponders The Quality of Life 384
27 On the Goodness-of-Fit Tests for Some Continuous Time Processes398
28 Nonparametric Estimation of Integral Functionals for Semi-Markov Processes with Application in Reliability417
29 Estimators for Partially Observed Markov Chains431
30 On Solving Statistical Problems for the Stochastic Processes by the Su.cient Empirical Averaging Method446
31 Adaptive Designs for Group Sequential Clinical Survival Experiments457
32 Optimal Two-Treatment Repeated Measurement Designs for Two Periods470
PART VIII Measures of Divergence, Model Selection, and Survival Models480
33 Discrepancy-Based Model Selection Criteria Using Cross-Validation481
34 Focused Information Criteria for the Linear Hazard Regression Model495
35 On Measures of Information and Divergence and Model Selection Criteria511
36 Entropy and Divergence Measures for Mixed Variables527
PART IX New Statistical Challenges543
37 Clinical Trials and the Genomic Evolution: Some Statistical Perspectives544
Index559